A high-rigidity synchronously unfolding and folding space extension arm, which is composed of a repeatable and expandable expandable and folding truss unit, a drive system, a power supply system and a supporting space platform. They can be connected through standard triangular joints, and the drive system is located in the triangular space at the bottom of the extension arm, connected to the supporting space platform, and connected to the power supply system through the transmission shaft. The invention adopts a triangular prism truss structure, which has the characteristics of geometric stability, structural rigidity and high unit repeatability, and can realize synchronous unfolding and folding, ensuring unfolding accuracy and repeatability accuracy, and can be applied to large-scale communication satellites, electronic reconnaissance satellites, The expandable antenna back frame of the space station platform, the solar sail arm frame, the feed source bracket, the spacecraft accessory connection mechanism, etc.